Forecast of cross-correlation of CSST cosmic shear tomography with AliCPT-1 CMB lensing

Abstract

We present a forecast study on the cross-correlation between cosmic shear tomography from the Chinese Survey Space Telescope (CSST), and CMB lensing from Ali CMB Polarization Telescope (AliCPT-1) in Tibet. We generate the correlated galaxy lensing and CMB lensing signals from the Gaussian realizations based on the inputted auto- and cross-spectra. As for the error budget, we consider the CMB lensing reconstruction noise based on the AliCPT-1 lensing reconstruction pipeline; the shape noise of the galaxy lensing measurement; CSST photo-$z$ error; photo-$z$ bias; intrinsic alignment effect. The AliCPT-1 CMB lensing mock data are generated according to two experimental stages, namely the "4 modules*yr" and "48 modules*yr" cases. We estimate the cross-spectra in 4 tomographic bins according to the CSST photo-$z$ distribution in the range of $z\in[0,4)$. After reconstructing the pseudo-cross-spectra from the realizations, we calculate the signal-to-noise ratio (SNR). By combining the 4 photo-z bins, the total cross-correlation SNR$\approx17$ (AliCPT-1 "4 modules*yr") and SNR$\approx26$ (AliCPT-1 "48 modules*yr"). Finally, we study the cosmological application of this cross-correlation signal. Due to the negative contribution to the galaxy lensing data, the exclusion of intrinsic alignment in the template fitting will lead to roughly a $0.6\sigma$ increasement in $\sigma_8$ but without changing the $S_8$ value. For AliCPT-1 first and second stages, the cross-correlation of CSST cosmic shear with CMB lensing give $\sigma_8=0.770\pm 0.034$ and $S_8=0.797\pm 0.028$ and $\sigma_8=0.801\pm 0.023$ and $S_8=0.813\pm 0.016$, respectively.Comment: 17 pages, 10 figure